Q: What are the prime factors of the number 51,235,405?

 A: 5, 13, 31, 47, 541

Why are those the prime factors of the number 51,235,405?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 51,235,405

51,235,405
Factor Arrows
510,247,081
Factor Arrows
13788,237
Factor Arrows
3125,427
Factor Arrows
47541

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

5, 13, 31, 47, 541

We can check our work by multiplying all of the prime factors together: 5 x 13 x 31 x 47 x 541 = 51,235,405

This can also be written as 51 x 131 x 311 x 471 x 5411 = 51,235,405

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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